#### Question:

In the triangle below, what is the tangent of 45°?

Posted By Admin @ September 03, 2022

In the triangle below, what is the tangent of 45°?

The tangent of 45° is 1 .

**Trigonometric ratios** are the ratios of the length of sides of a triangle. These ratios in **trigonometry **relate the ratio of sides of a right triangle to the respective angle.

The basic **trigonometric ratios** formulas are given below,

- sin θ = Perpendicular/Hypotenuse
- cos θ = Base/Hypotenuse
- tan θ = Perpendicular/Base
- sec θ = Hypotenuse/Base
- cosec θ = Hypotenuse/Perpendicular
- cot θ = Base/Perpendicular

According to the question

Hypotenuse of the right angled triangle =

Perpendicular of the right angled triangle = 1

Base of the right angled triangle = 1

Now,

Tan 45°

By using **trigonometric ratios **

tan θ = Perpendicular/Base

Tan 45° =

Tan 45° =

Tan 45° = 1

Hence, The tangent of 45° is 1 .

To know more about **trigonometric ratios ** here:

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